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Why do you want to practice so many various sports?
Go on with the baseball.

That's not true.
It all depends on you.

It's very difficult to gain muscle and burn fats simultaneously. Try to gain first, than you should start 'losing fats'.
The monohydrate is a good choice, and it's not too expensive.

My favorite one is rowing. But I like combat sports too.
Every day - sometimes twice a day.

It doesn't matter if your metabolism is too high. Try to eat 5-6 times daily and see your caloric balance. You must be in caloric excess to gain weight. Eat more proteins and before training - more...

Yes, I've got a "problem" like this one, but it doesn't matter to me. Forget it !